Practice Counting
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Due Mar 2, 2:59 AM EST
What is the number of 5-card hands with four hearts and one spades?
Exactly! It is (413)×(113)=9295.
What is the number of bit-strings (that is, strings consisting of 0's and 1's) of length 8 where the number of 0's is equal to the number of 1's?
For example, there are two such strings of length two: 01 and 10.
Exactly! We just need to select four (out of eight positions) of 0's.